## Rolling Dice

During a board game night, your team rolls 5 dice, one die at a time. What is the probability that the opposing team rolls the same numbers in the exact same order?

##
__
__**Hint**

**Hint**

Each of the 5 dice rolls could produce 6 different numbers, so there are
$$6^{5}$$
different arrangements.

##
__
__**Hint 2**

**Hint 2**

For the first dice, there is a 1/6 chance of matching.

Each of the 5 dice rolls could produce 6 different numbers, so there are
$$6^{5}$$
different arrangements. For the first dice, there is a 1/6 chance of matching. The same is true for all subsequent dice rolls.

$$$P=\frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}=1/6^5$$$

$$$1/6^5$$$